FACTS  AND  FORMULAE  FOR  AVERAGE QUESTIONS

 

 

1. Average =Sum of observationsNo. of observations

2. Suppose a man covers a certain distance x kmph and an equal distance at y kmph. Then, the average speed during the whole journey is2xyx+yKmph

Q:

In a class there were 28 boys and some girls. In a test the mean score obtained by the boys was 12.5 while that obtained by the girls was 14.5. If the overall average was 13.1, what was the total number of students in the class?

A) 42 B) 44
C) 40 D) 38
 
Answer & Explanation Answer: C) 40

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Q:

The average age of 120 members of a society is 60.7 years. By addition of 30 new members, the average age becomes 56.3 years. What is the average age (in years) of newly joined members?

A) 36.5 B) 37.2
C) 38.3 D) 38.7
 
Answer & Explanation Answer: D) 38.7

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Q:

An army of 12000 consists of Europeans and Indians. The average height of a European is 5ft 10 inches and that of an Indian is 5ft 9 inches and that of the whole army is 5ft 9 3/4 inches. Then the number of Indians in the army is ?

A) 3000 B) 4000
C) 5500 D) 2700
 
Answer & Explanation Answer: A) 3000

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Q:

Of the 5 numbers whose average is 72, the first is 1/8 times the sum of other 4. The first number is _____.

A) 60 B) 26
C) 40 D) 80
 
Answer & Explanation Answer: C) 40

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Q:

The average revenues of 11 consecutive years of a company is Rs 69 lakhs. If the average of first 6 years is Rs 64 lakhs and that of last 6 years is Rs 76 lakhs, what is the revenue for the 6th year?

A) Rs 83 lakhs B) Rs 79 lakhs
C) Rs 77 lakhs D) Rs 81 lakhs
 
Answer & Explanation Answer: D) Rs 81 lakhs

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Q:

A batsman makes a score of 95 runs in the 13th match and thus increases his average runs per match by 4. What is his average after the 13th match?

A) 47 B) 43
C) 45 D) 49
 
Answer & Explanation Answer: A) 47

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Q:

The average height of 40 sticks is 154 cm. Some sticks of average height 160 cm are taken out. If the new average height is 150 cm, then how many sticks are remaining?

 

A) 12 B) 16
C) 24 D) 28
 
Answer & Explanation Answer: C) 24

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Q:

The average age of 24 students is 12 years. It was observed that while calculating the average age, the age of a student was taken as 14 years instead of 8 years. What will be the correct average age (in years)?

A) 11.25 B) 11.5
C) 11.75 D) 12.25
 
Answer & Explanation Answer: C) 11.75

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